• 文献标题:   Anderson localization of electron states in graphene in different types of disorder
  • 文献类型:   Article
  • 作  者:   XIONG SJ, XIONG Y
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Nanjing Univ
  • 被引频次:   50
  • DOI:   10.1103/PhysRevB.76.214204
  • 出版年:   2007

▎ 摘  要

Anderson localization of electron states on graphene lattice with diagonal and off-diagonal (OD) disorders in the absence of magnetic field is investigated by using the standard finite-size scaling analysis. In the presence of diagonal disorder all states are localized as predicted by the scaling theory for two-dimensional systems. In the case of OD disorder, the states at the Dirac point (E=0) are shown to be delocalized due to the specific chiral symmetry, although other states (E not equal 0) are still localized. In OD disorder the conductance at E=0 in an MxL rectangular system at the thermodynamical limit is calculated with the transfer-matrix technique for various values of ratio M/L and different types of distribution functions of the OD elements t(nn'). It is found that if all the t(nn)(')'s are positive the conductance is independent of L/M as restricted by two delocalized channels at E=0. If the distribution function includes the sign randomness of elements t(nn)('), the conductivity, rather than the conductance, becomes L/M independent. The calculated value of the conductivity is around 4e(2)/h, in consistence with the experiments.